Compare Two Data Sets

Which of the following is an inference that could be made from this data?

• 25% of team 1 is shorter than team 2

• 75% of team 2 is taller than team 1

• 50% of the teams are the exact same height

• 25% of team 1 is the same height as 50% of team 2

The heights of two groups of students in different grades are shown in the box-and-whisker plot. Which statement CORRECTLY compares the two data sets?

• The maximum of Group A is greater than the maximum of Group B.

• The minimum of Group A is greater than the minimum of Group B.

• The median of Group B is greater than the median of Group A.

• The median of Group A is greater than the median of Group B.

The table represents the scores of ten students in Ms. Williams’s class on a math and science test. Which statement correctly compares the two sets of data?

• The mean score in Math is greater than the mean score in Science.

• The interquartile range of Math scores is greater than the interquartile range of Science scores.

• The scores in Math are more consistent than the scores in Science.

• The range of Science scores is greater than the range of Math scores.

Coach Keller is comparing the heights of the students on the basketball and volleyball teams. The line plots below show the heights, in inches, of the students on each team.

• The mean absolute deviation of the volleyball team's heights is greater than the mean absolute deviation of the basketball team's height.

• The basketball team's heights has a greater interquartile range than the volleyball team's heights.

• The volleyball team has a smaller range of heights than the basketball team.

• The mean absolute deviation of the basketball team's heights is greater than the mean absolute deviation of the volleyball team's height.

The graphs below show the number of touchdowns each of two teams scored during the last football season. What is the approximate difference between the means of the teams' touchdowns?

• 0.7

• 1

• 1.75

• 3

The number of bikes sold by a store over a period of two weeks is shown. Which statement CORRECTLY compares the two data sets?

• The range of Week 1 is equal to the range of Week 2.

• The range of Week 2 is less than the range of Week 1.

• The range of Week 1 is less than the range of Week 2.

• There isn't enough information to calculate the range.

An amusement park debuted a new roller coaster this season, and Peter, the park manager, is interested in the number of people who are riding it. The two data sets below represent the number of riders during the first two weeks of June. Rather than look at all those numbers, Peter wants to select a measure of central tendency that he can use to compare the attendance from week to week. Peter understands that many visitors want to ride the most popular attractions; therefore, he does not want outlier data to have too great an impact. Given that consideration, which measure of central tendency should Peter use to compare the attendance of week 1 to the attendance of week 2?

• Peter should compare the median attendance of week 1 to the median attendance of week 2.

• Peter should compare the median attendance of week 1 to the mean attendance of week 2.

• Peter should compare the mean attendance of week 1 to the median attendance of week 2.

• Peter should compare the mean attendance of week 1 to the mean attendance of week 2.

Miss Jackson is comparing her students' scores on the science test to the scores on the math test. She has recorded the scores for each test on the dot plots. Which of the following statements is true about the data?

• The mean absolute deviation of the math scores is greater than that of the science scores; therefore, the math scores are higher than the science scores.

• The mean absolute deviation of the science scores is greater than that of the math scores; therefore, the science scores are higher than the math scores.

• The mean absolute deviation of the science scores is greater than that of the math scores; therefore, the science scores are more spread out than are the math scores.

• The mean absolute deviation of the math scores is greater than that of the science scores; therefore, the math scores are more spread out than are the science scores.

The heart rates are measured by beats per minute. These graphs show resting heart rates of 11 boys and 11 girls. Based on the graphs, which statement is true?

• The resting heart rate for girls is more variable than the resting heart rate for boys.

• The resting heart rate for girls is more consistent than the resting heart rate for boys.

• The boys have a lower maximum than the girls.

• The boys have a lower minimum than the girls.

Find the medians.
Science: _________ Math: __________ 

•  science: 4.5 h; math: 3 h

•  science: 3 h; math: 4.5 h

•  science: 5 h; math: 5 h

•  science: 3.5 h; math: 4 h